The \(m\) -photon-added scheme, denoted by the mapping \(\rho \rightarrow a^{\dag m}\rho a^{m},\)  was first proposed by Agarwal and Tara [1]}. Here, we
introduce the PASTS. Theoretically, the PASTS can be obtained by repeatedly
operating the photon creation operator \(a^{\dagger }\)  on a STS, so its
density operator is given by
\(\rho _{ad}=C_{a,m}^{-1}a^{\dag m}S_{1}\rho _{th}S_{1}^{\dagger }a^{m},\) 
